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Finding the Third Proportional to 639,598 and 958,413

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Solution

The third proportional to 639,598 and 958,413 is: 1,436,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,598 : 958,413 = 958,413 : x
  2. Step 2: Convert to fraction form
    639,598/958,413 = 958,413/x
  3. Step 3: Cross multiply
    639,598x = 958,413 × 958,413
  4. Step 4: Simplify right side
    639,598x = 918,555,478,569
  5. Step 5: Solve for x
    x = 918,555,478,569/639,598
  6. Step 6: Final answer
    x = 1,436,145.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.